AnswersAlgebra IUnit Test

Comparing Exponential, Linear, and Quadratic Growth Answers

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The graph below shows the exponential function and the linear function .What is the minimum y-value after which the exponential function will always be greater than the linear function?

Question illustration
A
y = 1
B
y = 2
C
y = 3
D
y = 4
2
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Which of the following describes the function shown in the table below?xy-416-1220.2540.062550.03125

A
exponential, there is a continual rate of growth
B
exponential, there is a continual rate of decay or decrease
C
quadratic, there is a second degree change in the y-values
D
quadratic, there is a constant difference between consecutive y-values
3

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
mc015-5.jpg
Option D
4

Consider the quadratic function shown in the table below.xy0013212327Which exponential function grows at a faster rate than the quadratic function for ?

Question illustration
A
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Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
5

A linear function and an exponential function are shown below. Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
6

Use the data in the table to complete the sentence.xy–27–160514The function has an average rate of change of __________.

A
1
B
-1
C
2
D
-2
7

Study the table. xy–28–12001228Which best describes the function represented by the data in the table?

A
linear with a common ratio of 4
B
linear with a common second difference of 4
C
quadratic with a common ratio of 4
D
quadratic with a common second difference of 4
8

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
9

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?

Question illustration
A
The exponential function decays at one-half the rate of the quadratic function.
B
The exponential function decays at the same rate as the quadratic function.
C
The exponential function decays at two-thirds the rate of the quadratic function.
D
The exponential function decays at three-fourths the rate of the quadratic function.
10

The graph below shows an exponential function and a quadratic function.How do the functions compare over the interval ?

Question illustration
A
The exponential grows at approximately half the rate of the quadratic.
B
The exponential grows at approximately the same rate as the quadratic.
C
The exponential grows at approximately twice the rate of the quadratic.
D
The exponential grows at approximately four times the rate of the quadratic.

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